Finding the Fourth Proportional to 10,662.48, 14,714.10 and 5,946.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,662.48 : 14,714.10 = 5,946.75 : x
2. Step 2: Convert to fraction form
   10,662.48/14,714.10 = 5,946.75/x
3. Step 3: Cross multiply
   10,662.48x = 14,714.10 × 5,946.75
4. Step 4: Simplify right side
   10,662.48x = 87,501,074.18
5. Step 5: Solve for x
   x = 87,501,074.18/10,662.48
6. Step 6: Final answer
   x = 8,206.45